47311264000 has 864 divisors, whose sum is σ = 161832408192. Its totient is φ = 13547520000.

The previous prime is 47311263973. The next prime is 47311264003. The reversal of 47311264000 is 46211374.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 47311264000.

It is not an unprimeable number, because it can be changed into a prime (47311264003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224223895 + ... + 224224105.

It is an arithmetic number, because the mean of its divisors is an integer number (187306028).

Almost surely, 2^47311264000 is an apocalyptic number.

47311264000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47311264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80916204096).

47311264000 is an abundant number, since it is smaller than the sum of its proper divisors (114521144192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47311264000 is a wasteful number, since it uses less digits than its factorization.

47311264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 47311264000 its reverse (46211374), we get a palindrome (47357475374).

The spelling of 47311264000 in words is "forty-seven billion, three hundred eleven million, two hundred sixty-four thousand".